Solve this---**Title:**
Math challenge
**Question Stem/Expression:**
60 ÷ 5(1+1(1+1)) = ?
**Other Relevant Text:**
The expression asks for the result.
**Chart/Diagram Description:**
Background graphic: A stylized gear shape is visible behind the text. It is not a data chart or diagram.
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答案文本
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Welcome to this math challenge! We need to solve 60 divided by 5 times the quantity 1 plus 1 times the quantity 1 plus 1. This expression requires careful attention to the order of operations. Let's start by identifying the innermost parentheses and work our way outward.
Now we have 60 divided by 5 times the quantity 1 plus 1 times 2. The next step is to perform the multiplication inside the parentheses. We calculate 1 times 2, which equals 2. This simplifies our expression to 60 divided by 5 times the quantity 1 plus 2.
Now we have 60 divided by 5 times the quantity 1 plus 2. We simplify the parentheses by adding 1 plus 2, which equals 3. This gives us 60 divided by 5 times 3. We can rewrite this with explicit multiplication as 60 divided by 5 times 3.
Now we have 60 divided by 5 times 3. Following the order of operations, we work from left to right. First, we perform the division: 60 divided by 5 equals 12. Then we multiply: 12 times 3 equals 36. Therefore, the final answer is 36.
Let's review our complete solution. We started with 60 divided by 5 times the quantity 1 plus 1 times the quantity 1 plus 1. By carefully following the order of operations, working from the innermost parentheses outward, we simplified step by step until we reached our final answer of 36. Remember, the key to solving complex expressions is to follow PEMDAS or BODMAS systematically.